Question

The sum of five consecutive odd
numbers and four consecutive
even numbers together is 325.
Also, the largest odd number is
9 less than smallest even number. What is the sum of the second largest odd number and the
second smallest even number ?

Answer 1

well if you let the 1st odd number be x

they are x, x+ 2, x +4 , x+ 6 x+8

the 1st even number by y

then the numbers are

y, y + 2, y +4, y + 6

there sum to 325

so

5x + 20 + 4y + 12 = 325


or simplifying gives

5x + 4y = 293

you know the largest odd is 9 less than the smallest odd

so

y - (x + 8) = 9

so

y - x = 17

so now you have 2 equations in 2 unknowns that need to be solved simulataneously

5x + 4y = 293
y - x = 17

I'd probably use the substitution method

let y = x + 17

so

5x + 4(x + 17) = 293

5x + 4x + 68 = 293

you should be able to solve for x, which will be the 1st odd number.

then its just a case of substituting to find the smallest even number...

and then all the other odd and even numbers.

hope this helps.

Answer 2

oops should read.. you know the largest odd is 9 less than the smallest even number

Answer 3

but the answer is correct

Answer 4

y ur taking odd no as even no

Answer 5

x+1,X+3,X+5,X+7 is odd consecutive series

Answer 6

nope... if the 1st odd number is x then the next odd is 2 more so x + 2

as an example

start at 11... add 2 and you get 13, add2 and you get 15, add 2 and you get 17..

so consecutive odd numbers increase by 2

and the reality is my solution gives the correct answers.